Peli

j = int(input())
a=1
b=2
t=set()
n = set()
r=set()
r.add(0)
for i in range(5000):
    if a not in n and b not in n and abs(a-b) not in r:
        t.add(f"{a} {b}")
        t.add(f"{b} {a}")
        n.add(a)
        n.add(b)
        a+=1
        b+=1
        r.add(abs(a-b))
    elif a not in n:
        b+=1
    else:
        a+=1
for i in range(j):
    a = input()
    if a in t:
        print("second")
    else:
        print("first")
    

Test 1 (public)

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

Test 3

Group: 2, 3

Verdict: ACCEPTED

Test 4

Group: 3

Verdict: ACCEPTED

Test 5

Group: 2, 3

Verdict: ACCEPTED

Test 6

Group: 3

Verdict: ACCEPTED